[HTML][HTML] On the analytical study of predator–prey model with Holling-II by using the new modified extended direct algebraic technique and its stability analysis

T Shahzad, MZ Baber, MO Ahmad, N Ahmed, A Akgül… - Results in Physics, 2023 - Elsevier
The current study is concerned with a predator–prey model with a functional response of
Holling type II that includes prey refuge and diffusion. These types of equations arise in …

Optical soliton solution via complete discrimination system approach along with bifurcation and sensitivity analyses for the Gerjikov-Ivanov equation

STR Rizvi, S Shabbir - Optik, 2023 - Elsevier
The aim of this research intends to investigate the complex wave patterns and dynamic
behavior of the Gerjikov-Ivanov equation (GIE), commonly known as the derivative nonlinear …

Stability of kink, anti kink and dark soliton solution of nonlocal Kundu–Eckhaus equation

E Parasuraman - Optik, 2023 - Elsevier
We study the modulational instability and soliton solution for nonlocal Kundu–Eckhaus (KE)
equation which is distinctly different from KE equation. KE equation can describe the …

Exact chirped solutions for the NLSE having Kudryashov's law with dual form of generalized non-local nonlinearity

XZ Xu - Optik, 2023 - Elsevier
This paper devotes to investigating the chirped solutions for the nonlinear Schrödinger
equation with Kudryashov's law with dual form of generalized non-local nonlinearity in …

Optical dromions for M-fractional Kuralay equation via complete discrimination system approach along with sensitivity analysis and quasi-periodic behavior

SO Abbas, S Shabbir, STR Rizvi… - Modern Physics Letters …, 2024 - World Scientific
This paper investigates new analytical wave solutions for the fractional Kuralay-IIB
equations (FK-IIBE), including a new definition of the fractional derivative. This model works …

Optical soliton solutions of the stochastic perturbed Radhakrishnan-Kundu-Lakshmanan equation via Itô Calculus

M Bayram - Physica Scripta, 2023 - iopscience.iop.org
This study presents, for the first time, optical solitons of the stochastic perturbed
Radhakrishnan-Kundu-Lakshmanan equation with Kerr law nonlinearity in the presence of …

A Study of Nonlinear Riccati Equation and Its Applications to Multi-dimensional Nonlinear Evolution Equations

L Akinyemi, F Erebholo, V Palamara… - Qualitative Theory of …, 2024 - Springer
In this paper, an improved nonlinear Riccati equation method is established and then used
to study nonlinear evolution equations with variable coefficients. The idea behind this …

Stochastic wave solutions of fractional Radhakrishnan–Kundu–Lakshmanan equation arising in optical fibers with their sensitivity analysis

AM Alqahtani, S Akram, J Ahmad, KA Aldwoah… - Journal of Optics, 2024 - Springer
In this paper, the stochastic fractional Radhakrishnan–Kundu–Lakshmanan equation
(SFRKLE) with Kerr law nonlinearity is studied, which is one of the important mathematical …

Complex quadrupled-power-law nonlinearity form of Radhakrishnan-Kundu-Lakshmanan equation: novel optical soliton analysis

A Tripathy, S Sahoo, KM Sahu - Physica Scripta, 2024 - iopscience.iop.org
In this manuscript, the novel optical wave solutions to the newly developed Radhakrishnan-
Kundu-Lakshmanan (NRKL) model are studied. Two analytical methods namely, the new …

Bifurcations and Exact Solutions of the Generalized Radhakrishnan–Kundu–Lakshmanan Equation with the Polynomial Law

M Yu, C Chen, Q Zhang - Mathematics, 2023 - mdpi.com
In this paper, we investigate the generalized Radhakrishnan–Kundu–Lakshmanan equation
with polynomial law using the method of dynamical systems. By using traveling-wave …